Solve for x:
3/5(x+2)= x - 4
(5)(3/5)(x+2)=(5)(x-4)
3(x+2)=(5)(x-4)
3x+6=5x-20
3x+6+20=5x-20+20
3x+26=5x
3x-3x+26=5x-3x
26=2x
x=13
To solve for x in the equation (3/5)(x+2) = x - 4, we can start by getting rid of the fractions.
1. Multiply both sides of the equation by the common denominator, which is 5.
5 * (3/5)(x+2) = 5 * (x - 4)
Simplifying, we have:
3(x+2) = 5(x - 4)
2. Distribute the multiplication on both sides of the equation.
3x + 6 = 5x - 20
3. Collect like terms by subtracting 3x from both sides of the equation.
(3x + 6) - 3x = (5x - 20) - 3x
6 = 2x - 20
4. Add 20 to both sides of the equation.
6 + 20 = 2x - 20 + 20
26 = 2x
5. Divide both sides of the equation by 2 to solve for x.
26/2 = (2x)/2
13 = x
So, x = 13 is the solution to the equation (3/5)(x+2) = x - 4.